Standard Form Q

**jsmith613** · December 9th 2009, 12:18 PM

N = (3.2 * 10^p) * (4.5*10^q)
where p and q are integers. Express N in terms of p and q.
Give your answer in standard form
How?

I tried 14.4 * 10^(p+q)

but that is not right.

**earboth** · December 9th 2009, 12:41 PM

Originally Posted by jsmith613

N = (3.2 * 10^p) * (4.5*10^q)
where p and q are integers. Express N in terms of p and q.
Give your answer in standard form
How?

I tried 14.4 * 10^(p+q)

but that is not right.

Do you mean the standard form of scientific notation? If so I would use

$N = 1.44 \cdot 10^{1+p+q}$

**jsmith613** · December 9th 2009, 12:47 PM

why 1 + p + q, where do you get the +1

**earboth** · December 9th 2009, 10:47 PM

Originally Posted by jsmith613

N = (3.2 * 10^p) * (4.5*10^q)
...

Originally Posted by jsmith613

why 1 + p + q, where do you get the +1

$N = (3.2 \cdot 10^p) \cdot (4.5 \cdot 10^q) = 3.2 \cdot 4.5 \cdot 10^p \cdot 10^q =$ $14.4 \cdot 10^p \cdot 10^q = 1.44 \cdot 10^1 \cdot 10^p \cdot 10^q = \boxed{1.44 \cdot 10^{1+p+q}}$

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